Matematika

Pertanyaan

Tolong yaa dibantuin yg nomer 8-10
Tolong yaa dibantuin yg nomer 8-10

1 Jawaban

  • ^ pangkat
    8. f(x) = 1 / 2x^2
    f(x) = x^-2 / 2
    f'(x) = -2.x^(-2-1) / 2
    f'(x) = -2.x^-3 / 2
    f'(x) = -1.x^-3
    f'(x) = -1/x^3
    f'(1) = -1 / (1)³ = -1/1 = -1

    9. f"(x) = -1(-3).x^(-3-1)
    f"(x) = 3.x^-4
    f"(x) = 3/x^4
    f"(1) = 3/(1)⁴ = 3/1 = 3

    10. f'(x) = (6x²-3)(3)(2x³-3x)^(3-1)
    f'(x) = (6x²-3)(3)(2x³-3x)²
    f'(1) = (6(1)²-3)(3)(2(1)³-3(1))²
    f'(1) = (6-3) (3) (2-3)²
    = (3) (3) (1)
    = 9